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import os
from typing import Tuple as tTuple, Type
import mpmath.libmp as mlib
from sympy.external import import_module
__all__ = [
# GROUND_TYPES is either 'gmpy' or 'python' depending on which is used. If
# gmpy is installed then it will be used unless the environment variable
# SYMPY_GROUND_TYPES is set to something other than 'auto', 'gmpy', or
# 'gmpy2'.
'GROUND_TYPES',
# If HAS_GMPY is 0, no supported version of gmpy is available. Otherwise,
# HAS_GMPY will be 2 for gmpy2 if GROUND_TYPES is 'gmpy'. It used to be
# possible for HAS_GMPY to be 1 for gmpy but gmpy is no longer supported.
'HAS_GMPY',
# SYMPY_INTS is a tuple containing the base types for valid integer types.
# This is either (int,) or (int, type(mpz(0))) depending on GROUND_TYPES.
'SYMPY_INTS',
# MPQ is either gmpy.mpq or the Python equivalent from
# sympy.external.pythonmpq
'MPQ',
# MPZ is either gmpy.mpz or int.
'MPZ',
# Either the gmpy or the mpmath function
'factorial',
# isqrt from gmpy or mpmath
'sqrt',
]
#
# SYMPY_GROUND_TYPES can be gmpy, gmpy2, python or auto
#
GROUND_TYPES = os.environ.get('SYMPY_GROUND_TYPES', 'auto').lower()
#
# Try to import gmpy2 by default. If gmpy or gmpy2 is specified in
# SYMPY_GROUND_TYPES then warn if gmpy2 is not found. In all cases there is a
# fallback based on pure Python int and PythonMPQ that should still work fine.
#
if GROUND_TYPES in ('auto', 'gmpy', 'gmpy2'):
# Actually import gmpy2
gmpy = import_module('gmpy2', min_module_version='2.0.0',
module_version_attr='version', module_version_attr_call_args=())
# Warn if user explicitly asked for gmpy but it isn't available.
if gmpy is None and GROUND_TYPES in ('gmpy', 'gmpy2'):
from warnings import warn
warn("gmpy library is not installed, switching to 'python' ground types")
elif GROUND_TYPES == 'python':
# The user asked for Python so ignore gmpy2 module.
gmpy = None
else:
# Invalid value for SYMPY_GROUND_TYPES. Ignore the gmpy2 module.
from warnings import warn
warn("SYMPY_GROUND_TYPES environment variable unrecognised. "
"Should be 'python', 'auto', 'gmpy', or 'gmpy2'")
gmpy = None
#
# At this point gmpy will be None if gmpy2 was not successfully imported or if
# the environment variable SYMPY_GROUND_TYPES was set to 'python' (or some
# unrecognised value). The two blocks below define the values exported by this
# module in each case.
#
SYMPY_INTS: tTuple[Type, ...]
if gmpy is not None:
HAS_GMPY = 2
GROUND_TYPES = 'gmpy'
SYMPY_INTS = (int, type(gmpy.mpz(0)))
MPZ = gmpy.mpz
MPQ = gmpy.mpq
factorial = gmpy.fac
sqrt = gmpy.isqrt
else:
from .pythonmpq import PythonMPQ
HAS_GMPY = 0
GROUND_TYPES = 'python'
SYMPY_INTS = (int,)
MPZ = int
MPQ = PythonMPQ
factorial = lambda x: int(mlib.ifac(x))
sqrt = lambda x: int(mlib.isqrt(x))